Pith Number

pith:GRYO2E6H

pith:2022:GRYO2E6HDVRFCFLWAWL45DZ27C

not attested not anchored not stored refs pending

Baire Category Lower Density Operators with Borel Values

Artur Wachowicz, Jacek Hejduk, Marek Balcerzak

arxiv:2207.06821 v1 · 2022-07-14 · math.GN

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GRYO2E6HDVRFCFLWAWL45DZ27C}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T04:40:17.498511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3470ed13c71d625115760597ce8f3af8b33e847f0ca065a17ef6d9443416d63d

Aliases

arxiv: 2207.06821 · arxiv_version: 2207.06821v1 · doi: 10.48550/arxiv.2207.06821 · pith_short_12: GRYO2E6HDVRF · pith_short_16: GRYO2E6HDVRFCFLW · pith_short_8: GRYO2E6H

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/GRYO2E6HDVRFCFLWAWL45DZ27C \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 3470ed13c71d625115760597ce8f3af8b33e847f0ca065a17ef6d9443416d63d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c7f53a66bc0305a91d43e3062f86dd41d79a6f7110b1985fbc842e8734c337a4",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2022-07-14T11:19:08Z",
    "title_canon_sha256": "dc43393d665e554d398fb8b5cf92e9b2e11768067e0e9b2c96272011aeb58a7d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2207.06821",
    "kind": "arxiv",
    "version": 1
  }
}